A bag contains 25 marbles of the same size that are yellow, green, and purple. The probability of picking a yellow marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a purple marble from the bag and then classify the probability of picking a purple marble as likely or not likely to occur.
To determine the probability of picking a purple marble, we must first find the remaining probability after accounting for picking a yellow and green marble:
Probability of picking a yellow marble = 20%
Probability of picking a green marble = 50%
Total probability of picking either yellow or green marble = 20% + 50% = 70%
Remaining probability for picking a purple marble = 100% - 70% = 30%
Therefore, the probability of picking a purple marble is 30%.
Classifying the probability:
- If the probability is greater than 50%, it is classified as likely to occur.
- If the probability is between 50% and 25%, it is classified as somewhat likely to occur.
- If the probability is between 25% and 10%, it is classified as unlikely to occur.
- If the probability is less than 10%, it is classified as very unlikely to occur.
In this case, the probability of picking a purple marble is 30%, which falls between 25% and 50%. Therefore, picking a purple marble is classified as not likely to occur.